Answer :

Final answer:

The SAS postulate requires two sides and an included angle of one triangle to be equal to those of another triangle for them to be congruent, while the SSS postulate needs all three sides of one triangle to be equal to those of another triangle for them to be congruent.

Explanation:

The SAS (Side-Angle-Side) and SSS (Side-Side-Side) postulates are both used to prove that triangles are congruent, which means all their corresponding sides and angles are equal. However, the ways in which these postulates are applied are different.

In the SAS postulate, if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent. For example, if the sides AB and BC in triangle ABC are equal to the sides DE and EF in triangle DEF, and the angle ∠ABC is equal to the angle ∠DEF, then the triangles ABC and DEF are congruent based on the SAS postulate.

On the other hand, in the SSS postulate, if all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent. For example, if the sides AB, BC, and CA in triangle ABC are equal to the sides DE, EF, and FD in triangle DEF, then the triangles ABC and DEF are congruent based on the SSS postulate.

Learn more about Triangle congruence using SAS and SSS postulates here:

https://brainly.com/question/28039171

#SPJ3

Thanks for taking the time to read Explain the difference between proving triangles congruent using the SAS and SSS congruence postulates. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Answer:

SAS means the share a common side then an angel then another side SSS means all of the sides are equal